Open AccessHigher-Order Optimality Conditions and Higher-Order Tangent Sets
Author(s) -
JeanPaul Penot
Publication year - 2017
Publication title -
siam journal on optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.066
H-Index - 136
eISSN - 1095-7189
pISSN - 1052-6234
DOI - 10.1137/16m1100551
Subject(s) - mathematics , order (exchange) , simple (philosophy) , tangent , integer (computer science) , mathematical optimization , geometry , computer science , philosophy , finance , epistemology , economics , programming language
International audienceWe present a simple approach to an analysis of higher order approximations to sets and functions. The objects we study are not of a specific order; they include objects of order 2 and m with m not necessarily an integer. We deduce from these concepts optimality conditions of higher order and we establish some calculus rules
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